Answer:
Read on:
Step-by-step explanation:
Step 1:
System #1
[tex]y=\frac{1}{2}x-2[/tex]
[tex]y=-3x+5[/tex]
System #2
[tex]y=4x-3[/tex]
[tex]y=4x-3[/tex]
System #3
[tex]y=\frac{-2}{3}x-1[/tex]
[tex]y=\frac{-2}{3}x+2[/tex]
Step 2:
Look at First Drawing:
Look at Second Drawing
Look at Third Drawing
Step 3: Intersecting
Step 4: Overlap (Same Line)
Step 5: Parallel
Step 6:
Intersecting: If the slopes are unequal
Parallel: If the slopes are equal but the y-intercept is unequal
Same line: If the slopes and y-intercepts are all equal
Step 7: The lines are parallel because although the slopes are equal, the y-intercepts are not
